Abstract
We consider power series with positive completely multiplicative coefficients. We obtain a large family of power series that have the unit circle as natural boundary, as well as new -theorems for power series with positive completely multiplicative coefficients when the argument tends to roots of unity. Also -estimates for some partial sums of completely multiplicative functions are given.
Citation
Oleg A. Petrushov. "On the behavior of power series with positive completely multiplicative coefficients." Mosc. J. Comb. Number Theory 9 (2) 147 - 162, 2020. https://doi.org/10.2140/moscow.2020.9.147
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